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https://www.ias.ac.in/article/fulltext/pram/078/03/0335-0346

Fisher’s equation; compact finite difference; Taylor expansion series; total variation diminishing Runge–Kutta; numerical solutions.

In this study, we present a new and very accurate numerical method to approximate the Fisher’s-type equations. Firstly, the spatial derivative in the proposed equation is approximated by a sixth-order compact finite difference (CFD6) scheme. Secondly, we solve the obtained system of differential equations using a third-order total variation diminishing Runge–Kutta (TVD-RK3) scheme. Numerical examples are given to illustrate the efficiency of the proposed method.

Mehdi Bastani¹ Davod Khojasteh Salkuyeh²

1. Department of Mathematics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran
2. Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, Iran

Published

March 2012